72590364000 has 2304 divisors, whose sum is σ = 354940185600. Its totient is φ = 14224896000.

The previous prime is 72590363959. The next prime is 72590364031. The reversal of 72590364000 is 46309527.

72590364000 is a `hidden beast` number, since 7 + 2 + 5 + 9 + 0 + 3 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1688147979 + ... + 1688148021.

It is an arithmetic number, because the mean of its divisors is an integer number (154053900).

Almost surely, 2^72590364000 is an apocalyptic number.

72590364000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72590364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177470092800).

72590364000 is an abundant number, since it is smaller than the sum of its proper divisors (282349821600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72590364000 is a wasteful number, since it uses less digits than its factorization.

72590364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 72590364000 in words is "seventy-two billion, five hundred ninety million, three hundred sixty-four thousand".